Hi friends,Written Test for Scientist / Engineer_SC : [ Mechanical Engineering ] Date: 30-06-2005 Place: St. Anne’s School, Hyderabad. Question Pattern for Written Examination Ø 80 Questions Ø 2.00 hrs Duration Ø ¼ Negative Marks Ø All are Objective & Multiple choice Questions. 1 The concept of ———————————- derived from the “ZEROTH LAW OF THERMODYNAMICS”. TEMPERATURE 2 The concept of ————————————- derived from the “SECOND LAW OF THERMODYNAMICS”. ENTROPY 3 The expression for isentropic index [γ] in terms of number of degrees of freedom ( n ) ———————— 1+ [ 2 / n] 4 The critical Reynolds no upto which the viscous flow exists in pipe ——————- 2000 5 Two forces of equal magnitude P acts at right angles to each other and having same directions. Find out the expression for their resultant [R ]——————– [2]½ P 6 The angular frequency of handclock—————— Π/30 rad/s 7 The equation for free torsional vibration—————————- [1/2Π] [q/I]½ 8 A thin cylinder is subjected to longitudinal stress σ0 and internal pressure P , findout the maximum shearstress developed in it [ q max] ———————— 0.5 σ0 9 Rate of moment of momentum is equal to the ————————- Torque applied by the body 10 The expression for loss of energy [he ] due to sudden enlargement of the pipe——– he =[v1-v2]²/2g 11 A spring of stiffness K is divided into “n” number of springs. Each spring having stiffness ————————— nK 12 The non-dimensional number corresponds to [inertia forcecompressibility force]½—————————— Euler number 13 Equation for forced vortex flow—————————– v/r = constant 14 The causes of cavitation Metallic surfaces are damaged Noise & vibrations 15 How to increase the thermal efficiency in Carnot cycle by——————————- Decreasing low temperature 16 The slenderness ratio in columns can be obtained from the ————— Least radius of gyration 17 50:1 gear reduction ratio possible in—————– worm gear 18 Wire drawing property named as ————————- ductility 19 One man is standing in the elevator and the elevator is moving in the upward direction. What type of reading regarding the weight of man will we get from gauge————— The weight of man shown by the gauge will more the actual weight of the man. 20 LMTD for counterflow heat exchanger is compared to parallel to heat exchanger—– More 21 The free damping equation 2yºº + 3yº +8y =0. Calculate damping factor (D.F )——– 3/8 22 The discharges for the two parallel pipes of same lengths are Q1 & Q2 respectively and their diameters are 200 mm & 800 mm respectively. Calculate the ratio of discharge of smaller pipe to larger pipe. 1/32 23 A compressor is used to compress the air from 5 bar to 10 bar .Calculate its critical pressure [ P٭]———————- 2.64 bar 24 Equivalent twisting moment—————————— Te = [T² + M²]½ 25 The shear stress distribution in pipe flow —————————– Centre is zero and linearly varying from the center to the wall 26 The irrational component in x-y is————– δv/δx = δu/δy 27 The ratio kinetic viscosity/thermal diffusivity is ————- Nusselt Number 28 The cylinder is subjected to insulations K & 2K at the outside surface to avoid heat transfer. In order to arrest heat transfer effectively , which insulation should be provided first at the outer surface? 2K & K respectively

29 The wall having conductivities K1 K2 Findout the equivalent conductivity of the material——————–?

29 The maximum amplitude in this vibration equation y = 6 sinωt ——– 6

30 The thermal boundary layer in an ideal fluid flow is ————– 0

31 What does tend to stagnation point ———————– The velocity is 0 at the stagnation point due to the increase in pressure energy from the conversion of K.E into P.E.

33 The factor of safety subjected to number of cycles related to Endurance limit

34 In composite beam , width is directly proportional to ———————————– if the depth of the beam is kept constant. α M

35 The heat transfer rate of hollow cylinder is inversly proportional to the following ——————————— r2/r1

36 A material at 300ºC is immersed in water at 30ºC such that it will take 170 seconds to become 150ºC . A same material at 300ºC is put in air at 30ºC but it will take 200 seconds to become 150ºC. What is the reason behind it ? K of water is more compared to air

43 The convergent pipe having entry and exit diameters are 100 and 50 mm respectively, find out their velocity ratio from entry to exit………….. 1/4

44 They had given one composite circular pipe having 4 varying cross sections . They are 2D, 1.5D, 4D & D respectively. The water is entering at velocity V at section 1 and leaving at section 4. Find out the pressure decreasing order…………… P4>P2>P1>P3

45 The bulb having weight 150N supported by two ropes and attached to the walls having angles 45º & 60º. Findout the reaction forces in the ropes ? This is related to Lamis theorem

46 A hollow sphere of radius r . A particle is moving with coefficient of friction 1/[3]½ inside the sphere from wall . which height will it become rest?

47 The disc is resting on the rough wall by a rope tied at the center . The rope makes angle with the wall around 30º. The tension in the string is ———-than the weight of the disc. more

48 A railway wagon containing partially full of water. Which angle—————-

49 Findout the graph between discharge [Q] in the x-axis and head [H] in the y-axis———-